What is the general solution for cos(x)(2cos(x)+1)=3 ?

The general solution for cos(x)(2cos(x)+1)=3 is x=2pin

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cos(x)(2cos(x)+1)=3

cos (x) (2 cos (x) + 1) = 3

x = 2 πn

Solution steps

cos (x) (2 cos (x) + 1) = 3

Solve by substitution

cos (x) = 1, cos (x) = - \frac{3}{2}

cos (x) = 1 : x = 2 πn

cos (x) = - \frac{3}{2} :

No Solution

Combine all the solutions

x = 2 πn

3 + cot (x) = 0

sin (θ) = - \frac{5}{8}

\frac{sin ( θ )}{cos ( θ )} = 1

tan (θ + 26.56 5^{\circ}) = \frac{12. 5 ^{2}}{9.81 ( 60 )}

2 sin^{2} (θ) + (2 - 3) sin (θ) - 3 = 0

What is the general solution for cos(x)(2cos(x)+1)=3 ?
The general solution for cos(x)(2cos(x)+1)=3 is x=2pin